15007147128480 has 768 divisors, whose sum is σ = 54738395550720. Its totient is φ = 3426593144832.

The previous prime is 15007147128353. The next prime is 15007147128497. The reversal of 15007147128480 is 8482174170051.

It is a super-2 number, since 2×15007147128480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1662100606 + ... + 1662109634.

It is an arithmetic number, because the mean of its divisors is an integer number (71273952540).

Almost surely, 2^{15007147128480} is an apocalyptic number.

15007147128480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15007147128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27369197775360).

15007147128480 is an abundant number, since it is smaller than the sum of its proper divisors (39731248422240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15007147128480 is a wasteful number, since it uses less digits than its factorization.

15007147128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The spelling of 15007147128480 in words is "fifteen trillion, seven billion, one hundred forty-seven million, one hundred twenty-eight thousand, four hundred eighty".